Expression of type ExprTuple

from the theory of proveit.logic.sets.enumeration

import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple, Lambda, x
from proveit.core_expr_types import y_1_to_n
from proveit.logic import Boolean, InSet, Set

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, y_1_to_n], InSet(InSet(x, Set(y_1_to_n)), Boolean)))

expr:

# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")

Passed sanity check: expr matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(\left(x, y_{1}, y_{2}, \ldots, y_{n}\right) \mapsto \left(\left(x \in \left\{y_{1}, y_{2}, \ldots, y_{n}\right\}\right) \in \mathbb{B}\right)\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameters: 2 body: 3
2	ExprTuple	9, 13
3	Operation	operator: 7 operands: 4
4	ExprTuple	5, 6
5	Operation	operator: 7 operands: 8
6	Literal
7	Literal
8	ExprTuple	9, 10
9	Variable
10	Operation	operator: 11 operands: 12
11	Literal
12	ExprTuple	13
13	ExprRange	lambda_map: 14 start_index: 15 end_index: 16
14	Lambda	parameter: 20 body: 17
15	Literal
16	Variable
17	IndexedVar	variable: 18 index: 20
18	Variable
19	ExprTuple	20
20	Variable